Given that the point (12,-5) which takes the form (x,y), This implies that:
opposite=-5
adjacent=12
thus using using Pythagorean theorem, the hypotenuse will be:
c^2=a^2+b^2
plugging the values we obtain:
c^2=(12)^2+(-5)^2
c^2=144+15
c^2=169
thus
c=13
but
cos θ=adjacent/ hypotenuse
therefore:
cos θ=12/13
Answer is option . D
Answer:
20x - 3
Step-by-step explanation:
<em>Finding the sum means adding the two together; combining like-terms.</em>
34x + 6 - 14x - 9
<em>34x</em><em> and </em><em>-14x</em><em> both have the variable </em><em>x</em><em> with them so we can combine those terms. Since </em><em>6</em><em> and </em><em>-9</em><em> have no variables with them, we can combine them.</em>
20x - 3
Answer:
The volume of the cylinder is 900 cubic inches
<em />
Step-by-step explanation:
Given
Let V1 represent the volume of a cone and V2 represents the volume of a cylinder
Required
Determine the volume of a cylinder with same dimension
The volume of a cone is calculated as:
The volume of a cylinder is calculated as:
Since, the cone and cylinder have the same dimensions, we can substitute 
for 
in
So, we have:
Multiply both sides by 3
Substitute 
for 
<em>Hence, the volume of the cylinder is 900 cubic inches</em>
Answer:
12.5 % was spent
Step-by-step explanation:
How much did he start with
20 + 140 = 160
He spent 20
20/160 = 1/8
.125
12.5 % was spent
